A Simple Approach for Estimating Solution Bounds of the Continuous Lyapunov Equation

被引：0

作者：

Lee, Chien-Hua ^{[1
]}

Chien, Kuo-Hsiung ^{[1
]}

Chen, Cheng-Yi ^{[1
]}

机构：

[1] Cheng Shiu Univ, Dept Elect Engn, Kaohsiung, Taiwan

来源：

ICIEA: 2009 4TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS, VOLS 1-6 | 2009年

关键词：

Matrix bound; upper bound; lower bound; continuous algebraic Lyapunov equation; ALGEBRAIC MATRIX RICCATI; ROBUST STABILITY; DISCRETE RICCATI; TRACE BOUNDS; EIGENVALUES; SYSTEMS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

By using linear algebraic techniques, this paper proposes a simple approach to derive new matrix bounds of the solution of the continuous algebraic Lyapunov equation (CALE). Both upper and lower matrix bounds are presented. Compared to existing works on this topic, these newly obtained bounds are less restrictive and easier to calculate. A numerical example is also given on order to compare the tightness of the presented results with those appearing in the literature.

引用

页码：3449 / 3454

页数：6

共 27 条

[1] Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations [J].